Answer:
C. 30
Step-by-step explanation:
15 men do work in 16 days
This means that 7.5 men (15/2) would do that same work in 32 days (16x2).
If the number of men increase, the amount of days decrease.
8 men would do that work in 30 days
8 men > 7.5 men
30 days < 32 days
Answer:
The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.
Step-by-step explanation:
Answer:
t(s) is in rejection zone then we reject H₀.
Bad weather indeed make apples weight decrease
Step-by-step explanation:
Normal Distribution
population mean μ₀ = 9.5 ou
sample size = n = 16 then we should apply t-student table
degree of fredom df = n - 1 df = 16 - 1 df = 15
1.-Test hypothesis
H₀ null hypothesis μ₀ = 9.5
Hₐ alternative hypothesis μ₀ < 9.5
One left tail-test
2.-Confidence level 95 %
α = 0,05 and df = 15 from t-student table we get t(c) = - 1.761
3.-Compute t(s)
t(s) = [ μ - μ₀ ] /√s/n t(s) = (9.32 - 9.5 )* √16 / 0.18
t(s) = - 0.18*√16 / 0.18
t(s) = - 4
4.-Compare t(s) and t(c)
t(s) < t(c) -4 < - 1.761
Then t(s) is in the rejection zone.
5.- Decision
t(s) is in rejection zone then we reject H₀.
Farmer conclude that bad weather make apples weight decrease
Answer:
0.75
Step-by-step explanation:
Given a geometric sequence: 
The common ratio is derived by dividing any next term by the preceeding term.
That is:

In the geometric sequence: 4,3,9/4
Common ratio, 
The common ratio of the given geometric sequence is 0.75.
Answer:
,
Step-by-step explanation:
Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is
, therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is
.